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Yanka [14]
3 years ago
7

J2 + 7j + 12 = 0CAN U PLEASE HELP ME!!! ​

Mathematics
2 answers:
natima [27]3 years ago
3 0

Answer:

j = -3, -4

Step-by-step explanation:

j^2 + 7j + 12 = 0

(j + 3)(j + 4) = 0

j = -3, -4

allsm [11]3 years ago
3 0

Answer:

j=−3 or j=−4

Step-by-step explanation:

j2+7j+12=0

Step 1: Factor left side of equation.

(j+3)(j+4)=0

Step 2: Set factors equal to 0.

j+3=0 or j+4=0

j=−3 or j=−4

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Use natural logarithms to solve the equation. Round to the nearest thousandth. 3e^2x +5=27
puteri [66]

Answer:

x=0.996

Step-by-step explanation:

3e^{2x} +5=27

To take natural log ln , we need to get e^2x alone

Subtract 5 on both sides

3e^{2x}=22

Now we divide both sides by 3

e^{2x}=\frac{22}{3}

Now we take 'ln' on both sides

ln(e^{2x})=ln(\frac{22}{3})

As per log property we can move exponent 2x before ln

(2x)ln(e)=ln(\frac{22}{3})

The value of ln(e) = 1

2x=ln(\frac{22}{3})

Divide both sides by 2

x=\frac{ln(\frac{22}{3})}{2}

x= 0.996215082

Round to nearest thousandth

x=0.996

6 0
3 years ago
BRAINLYEST
iVinArrow [24]

Given:

The data set is

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17, 35

To find:

Effect on mean, median, range after removing the outlier, 35.

Solution:

We have, the data set

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17, 35

\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}

\text{Mean}=\dfrac{10+10+11+12+13+13+13+14+14+15+15+15+16+17+17+17+35}{17}

\text{Mean}=\dfrac{257}{17}

\text{Mean}=15.117647

\text{Mean}\approx 15.12

Mean of the data set is 15.12.

Median=\dfrac{n+1}{2}\text{th term} because n=17, which is odd.

Median=\dfrac{17+1}{2}\text{th term}

Median=\dfrac{18}{2}\text{th term}

Median=9\text{th term}

Median=14

Median is 14.

Range=Maximum-Minimum

Range=35-10

Range=25

Range is 25.

After removing the outlier, 35, the data set is

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17

\text{Mean}=\dfrac{10+10+11+12+13+13+13+14+14+15+15+15+16+17+17+17}{16}

\text{Mean}=\dfrac{222}{16}

\text{Mean}=13.875

Mean of the new data set is 13.875, which is less than 15.12.

Median=\dfrac{\dfrac{n}{2}\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2} because n=16, which is even.

Median=\dfrac{\dfrac{16}{2}\text{th term}+(\dfrac{16}{2}+1)\text{th term}}{2}

Median=\dfrac{8\text{th term}+9\text{th term}}{2}

Median=\dfrac{14+14}{2}

Median=\dfrac{28}{2}

Median=14

New median is 14, which is same as original median.

Range=17-10

Range=7

So, the new range is 7 which is less than 25.

Therefore, the mean of the data set will decrease, the median of the data set will not change, the Range of the data set will decrease.

5 0
2 years ago
Read 2 more answers
Determine if the two figures are congruent and explain your awnser using transformations
Diano4ka-milaya [45]
They are not congruent because they are the same shape just flipped around
3 0
3 years ago
How many complete rotations does the minute hand of a clock make as it moves from 12:00 noon to 4:00 p.m.?
Elenna [48]

Answer:

4\ rotations

Step-by-step explanation:

we know that

The minute hand of a clock will make one rotation in one hour

12:00 noon to 4:00 p.m is equal to 4\ hours

so

by proportion

Find how many rotations will make in 4 hours


\frac{1}{1} \frac{rotation}{hour}=\frac{x}{4} \frac{rotation}{hours} \\ \\ x=4\ rotations

8 0
3 years ago
Read 2 more answers
1 Sole for x. Round your answer to the nearest tenth.*<br> 17<br> 6
BaLLatris [955]

Answer:

15.9

Step-by-step explanation:

Formula:

a² + b² = c²

6² + x² = 17²

36 + x² = 289

x² = 253

\sqrt{x^2} =\sqrt{253}

x = 15.91

5 0
3 years ago
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